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Sufficient conditions to be exceptional

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Johnson C. R., Reams R. B.

Special Matrices

2016

tom 4

nr 1

67-72

A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).

Ograniczanie wyników

1 Special Matrices

1 Johnson C. R.

1 Reams R. B.

1 2016

Wyniki wyszukiwania

Sufficient conditions to be exceptional